Geometry

       
           

The study of Geometry includes the detailed knowledge of different shapes and figures we come across in our daily life. In Math geometry is basically related to the different shapes and sizes of the different object we look around us. These shapes can be in the two dimensions or even in three dimensions. When we talk about the figures in two dimensions we look at the basic shapes, which start with the study of the point, followed by the line, line segments and the rays. These are the basic terms and the elements of the geometrical studies. Now when we proceed further we find the different shapes formed by the different line segments and their measures, which help us to calculate the area and the perimeters of these shapes.
While plotting any geometrical figures we need to take care of the accuracy of the shapes and the sizes of the figures. For this we need to have a deep knowledge of the angles and the lengths of the line segments.  Line segments when joined together at different measures of the angles change the shapes of the closed figures. Let us start with the Triangles. Any of the Triangles can be formed by joining 3 different line segments at the three different vertexes. If the angles formed by joining the three line segments at three different points are same, i.e. 60 degree each, then the triangle so formed is called an equilateral triangle. On another hand, if the triangle has one of the angles as a right angle, then we say that the right angled triangle is formed.  On another hand if one of the angle is greater than 90 degrees then we say that an obtuse angled triangle is formed. Here we say that different shapes are taken by the triangles just by change in the measure of the angles of the triangle. Also we must remember that the sum of the angles of the triangle is always 180 degrees, so if the measure of one of the angle increases, and then automatically it is going to affect the measure of the angles of other angles of the triangle.
Further we come across different other polygons, which can be in the shapes of the quadrilaterals, pentagons, hexagons and many other different shapes, we look around us.
To measure the length of the sides of the  park, the boundary of the fence required around any park or field, the area of the room on which the flooring is to be done, these all the real life applications of the geometry in our daily  life.
Whenever we talk about the  real life applications of the geometrical study, we say that it is unlimited and endless. Once we know about the different properties of different geometrical shapes, we can form and understand different formulas to get the numerical related output of the different figures. If we need to find the boundary of the figures, we will find the perimeter of these figures and if we need to find the enclosed area, then we find the area of different geometrical figures.

Topics Covered in Geometry

  • Co-ordinate Geometry
    We can represent a point in plane (called a Cartesian plane or a co-ordinate plane) by means of an ordered pair of real numbers, called the co-ordinates of that point.  The branch of mathematics in which geometric problems are solved us...Read More
  • Lines and Angles
    Lines and Angles
  • Triangles

    A polygon is a closed figure drawn with the help of line segments only. In other words, we can say that polygons are rectilinear figures. The line segments with the help of which they are drawn are called the sides or edges of the polygon. The ...Read More

  • Quadrilateral
    A plane figure bounded by four sides is called a quadrilateral.  In the following figure, four line segments AB, BC, CD and DA bound a quadrilateral ABCD.

    In the given figure, we have.
    a)  The points A, B, C and D are the vertices of quad...Read More
  • Circles and Construction
    Points to Remember:-
    a) Equal chords of a circle (or of congruent circles) subtend equal angles at the centre.
    b) If two chords of a circle subtend equal angles at the centre, then the chords are equal.
    c) The line drawn through...Read More
  • The Triangle and its properties
    Triangle is a basic shape in geometry which can be defined as a closed figure bounded by 3 line segments or edges, it is a 3 sided polygon.
    Before understanding the concept of properties of triangles we will understand abou...Read More
  • Practical Geometry

    Geometry is the branch of Mathematics in which we deal with different types of shapes. The concept begins with a point. We define point as a dot made with the help of a sharp object. A point is always denoted by a capital letter of En...Read More

  • Areas (HERON'S Formula)

    For calculation of area of triangle heron's formula can be used but this method is suitable when lengths of all three sides are given.

    Let x, y, z the length of three sides of triangle then the formula is given by;

     Area = ...Read More

  • Areas Related to Circles
    Circle is a round plane figure whose boundary consists of points equidistant from center such as a curved upper tier of seats in a theater or a group of people forming a circle. Areas related to circle is defined as the total area ...Read More
  • Line
    Line is a straight object with negligible width and depth. Line is a way to represent an object in coordinate system. Lines are one dimensional object. It is the distance from one point to another, which is known as starting point and ending point of ...Read More
  • Line Segment
    Line can be defined as a collection of infinite number of points. A line cannot be sketched on a paper as its length is not definite and it extends in both directions. To explain a line we must have at least two points. A line segment on the o...Read More
  • Point
    Point can be defined as that geometrical mark that does not have any dimensions and is represented using coordinates in the Cartesian system. But still it has much importance in math geometry. For defining a plane we must have at least three collinea...Read More
  • Plane
    We can define a plane as two dimensional surfaces which are flat in nature. When we work in two dimensional space we generally use the term plane instead of the two dimensional space. If a plane has more dimensions then we call it a hyper plane.
    If ...Read More
  • Fundamental Ideas of Geometry
    Fundamentals of geometry start with understanding of 'point'. A point is that geometrical form which is denoted by a mark and is named using an English alphabet in upper case. Next geometric form is supposed to be a group of m...Read More
Math Topics
Related Worksheet of Geometry